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Finding the Fourth Proportional to 279,794.40, 419,719.95 and 90,205.80

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Solution

The fourth proportional to 279,794.40, 419,719.95 and 90,205.80 is: 135,317.84

Step by Step Solution

  1. Step 1: Write the proportion equation
    279,794.40 : 419,719.95 = 90,205.80 : x
  2. Step 2: Convert to fraction form
    279,794.40/419,719.95 = 90,205.80/x
  3. Step 3: Cross multiply
    279,794.40x = 419,719.95 × 90,205.80
  4. Step 4: Simplify right side
    279,794.40x = 37,861,173,865.71
  5. Step 5: Solve for x
    x = 37,861,173,865.71/279,794.40
  6. Step 6: Final answer
    x = 135,317.84

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.